M1 Tema 9 Geometrie

Focus on Pythaghorean Theorem

a^2+b^2=c^2

1. (16+a)^2 + 9^2= r^2

2. (a+b)^2=a^2+2ab+b^2

3. 256+ 32a + a^2=r^2
   

TRIUNGHI OEC

1. a^2+b^2=c^2

2. a^2 + (21)^2= r^2

337+32a+a^2=a^2 + 441

• (377- )337 + 32a = 441 - (377)

• 32a = 104

• a= 13/2

a^2 + 441 = r^2

(13/4)^2 + 441 = r^2

169/16 + 7056/16= r^2

169+7056/16= r^2

=√ r^2 = ✓7225/16

r=85/4

r=21.25 radius units

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